1/300 as a Decimal

Answer

1/300 in decimals can be written as 0.0033333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/300 in decimal, we will use the division method. Here as 1 is smaller than 300, we will take the help of the decimal method, which will give us 0.0033333… Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (300) will be taken as the divisor.

Step 2: As 1 is smaller than 300, it can't be divided. Here, we will take the help of decimals. We will add zeros to the dividend to make it 1000 and add a decimal point in the quotient place.

Step 3: Now that it is 1000, we can divide it by 300. Let's see how many times 300 makes 1000.

Step 4: 1000 is not a multiple of 300, so we will look for the nearest number that is 300 × 3 = 900. We will write 3 in the quotient place and subtract 900 from 1000, which gives 100.

Step 5: Bring down another 0 in the dividend place to make 100 as 1000 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/300 as a decimal will be 0.0033333…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered  

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Recurring Decimal: A decimal number with repeating digits after the decimal point.